Telangana Board Solutions for Chapter: Pair of Linear Equations, Exercise 8: Exercise

The taxi charges in Hyderabad are fixed, along with the charge for the distance covered. Upto first $3 \mathrm{km}$ you will be charged a certain minimum amount. From there onwards you have to pay additionally for every kilometer travelled. For the first $10 \mathrm{km}$, the charge paid is $₹166$. For a journey of $15 \mathrm{km}$. the charge paid is $₹256$.
What are the fixed charges and charge per $\mathrm{km}$?

The taxi charges in Hyderabad are fixed, along with the charge for the distance covered. Upto first $3 \mathrm{km}$ you will be charged a certain minimum amount. From there onwards you have to pay additionally for every kilometer travelled. For the first $10 \mathrm{km}$, the charge paid is $₹166$. For a journey of $15 \mathrm{km}$. the charge paid is $₹256$.

How much does a person have to pay for travelling a distance of $25 \mathrm{km}$?

A fraction will be equal to $\frac{4}{5}$ if $1$ is added to both numerator and denominator. If, however, $5$ is subtracted from both numerator and denominator, the fraction will be equal to $\frac{1}{2}$. What is the fraction?

Places $A$ and $B$ are $100 \mathrm{km}$ apart on a highway. One car starts from $A$ and another from $B$ at the same time at different speeds. If the cars travel in the same direction, they meet in $5$ hours. If they travel towards each other, they meet in $1$ hour. What are the speeds of the two cars?

Two angles are complementary. The larger angle is $3°$ less than twice the measure of the smaller angle. Find the measure of each angle.

A dictionary has a total of $1382$ pages. It is broken up into two parts. The second part of the book has $64$ pages more than the first part. How many pages are in each part of the book?

A chemist has two solutions of hydrochloric acid in stock. One is $50\%$ solution and the other is $80\%$ solution. How much of each should be used to obtain $100 \mathrm{ml}$ of a $68\%$ solution.

You have $₹12,000$ saved amount, and wants to invest it in two schemes yielding $10\%$ and $15\%$ interest. How much amount should be invested in each scheme so that you should get overall $12\%$ interest.